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A spinning dartboard is used in a carnival game. The board is .4 m by .27 cm and has a mass of 950 grams. The operator spins the board about its center of mass at 25 rad/s. The sucker (or customer) shoots three identical darts in the board. If two of the three hit the dark grey bands the customer wins a prize. In one case the darts stick in at A: x = .16 m, y = 0 m, B: x = 0 m, y = .08 m, C: x = .178 m, y = .12 m. After the three darts are stuck in the board the rotation rate of the board is 23.5 rad/s. What is the mass of one dart? The mass moment of a dart is I = md2where d is the distance from rotation center to dart.
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